Logistic regression 2

Time bar (total: 4.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze73.0ms (1.8%)

Memory
24.3MiB live, 70.6MiB allocated; 7ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.3s (33.3%)

Memory
-15.4MiB live, 1 801.2MiB allocated; 331ms collecting garbage
Samples
557.0ms8 256×0valid
288.0ms2 621×1exit
Precisions
Click to see histograms. Total time spent on operations: 517.0ms
ival-exp: 208.0ms (40.3% of total)
ival-log1p: 115.0ms (22.3% of total)
ival-mult!: 79.0ms (15.3% of total)
ival-sub!: 62.0ms (12% of total)
adjust: 52.0ms (10.1% of total)
Bogosity

preprocess58.0ms (1.5%)

Memory
-19.2MiB live, 27.7MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02460
15558
214258
344258
4562058
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 16 to 16 computations (0% saved)

series59.0ms (1.5%)

Memory
46.0MiB live, 92.5MiB allocated; 3ms collecting garbage
Counts
8 → 27
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 2))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
Calls

6 calls:

TimeVariablePointExpression
30.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
21.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
3.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
2.0ms
y
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)
2.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 1 (exp x) x (* x y) y)

rewrite203.0ms (5.1%)

Memory
0.4MiB live, 183.7MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100410
0107401
1561399
04790333
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
35 → 88
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 2))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
Outputs
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 x) y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y x) y) x))) (neg.f64 (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y x) y) x)) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (fma.f64 (*.f64 (*.f64 y x) y) x (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))
(fma.f64 (neg.f64 x) y (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (neg.f64 y) x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 y (neg.f64 x) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 x (neg.f64 y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)))
(-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x))
(+.f64 (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (neg.f64 x) y) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) y))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(neg.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(exp.f64 (+.f64 #s(literal 0 binary64) x))
(exp.f64 x)
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) y))
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ 1 (exp x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* x y) (*.f64 y x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y) x))
#s(approx (log (+ 1 (exp x))) (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
#s(approx (+ 1 (exp x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) (neg.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (-.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 y x)))
#s(approx y y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 (-.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) y) x)) (neg.f64 y)))

eval14.0ms (0.3%)

Memory
-21.3MiB live, 34.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 737 to 323 computations (56.2% saved)

prune6.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New74882
Fresh000
Picked101
Done000
Total75883
Accuracy
99.7%
Counts
83 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶65.8%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
▶89.6%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶69.2%
(+.f64 (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))))
76.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
82.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶50.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
50.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
Compiler

Compiled 234 to 200 computations (14.5% saved)

series63.0ms (1.6%)

Memory
8.3MiB live, 147.3MiB allocated; 11ms collecting garbage
Counts
32 → 102
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x)))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 2 binary64) x)
(+.f64 (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))
(pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64))
(log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 3 binary64)
(fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 y x)
(fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y))
(*.f64 (*.f64 (*.f64 y x) y) x)
(*.f64 (*.f64 y x) y)
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (* (neg x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 2))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (- (+ 1/8 (* 3/4 (/ 1 (log 2)))) (+ (* 1/4 (/ 1 (log 2))) (+ (/ (* y (+ 1/2 y)) (log 2)) (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2))))))) y)))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (- (+ 1/8 (+ (* 3/4 (/ 1 (log 2))) (* x (- (+ (* -1 (/ (pow y 3) (pow (log 2) 2))) (+ (* 1/4 (/ 1 (log 2))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (pow (log 2) 2))))) (+ (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ y (log 2))) (+ (/ (* (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y)))) (- 1/2 y)) (pow (log 2) 2)) (/ (* (+ (log 2) (* y (log 2))) (- (+ 1/8 (* 3/4 (/ 1 (log 2)))) (+ (* 1/4 (/ 1 (log 2))) (+ (/ (* y (+ 1/2 y)) (log 2)) (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2)))))) (pow (log 2) 2))))))))) (+ (* 1/4 (/ 1 (log 2))) (+ (/ (* y (+ 1/2 y)) (log 2)) (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2))))))) y)))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (- (+ 1/8 (+ (* 3/4 (/ 1 (log 2))) (* x (- (+ (* 1/4 (/ 1 (log 2))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (pow (log 2) 2)))) (+ (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ y (log 2))) (+ (/ (* (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y)))) (- 1/2 y)) (pow (log 2) 2)) (/ (* (+ (log 2) (* y (log 2))) (- (+ 1/8 (* 3/4 (/ 1 (log 2)))) (+ (* 1/4 (/ 1 (log 2))) (+ (/ (* y (+ 1/2 y)) (log 2)) (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2)))))) (pow (log 2) 2))))))))) (+ (* 1/4 (/ 1 (log 2))) (+ (/ (* y (+ 1/2 y)) (log 2)) (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2))))))) y)))))
#s(approx (pow (log (- (exp x) -1)) 3) #s(hole binary64 (pow (log 2) 3)))
#s(approx (pow (log (- (exp x) -1)) 3) #s(hole binary64 (+ (* x (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))))
#s(approx (pow (log (- (exp x) -1)) 3) #s(hole binary64 (+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))))
#s(approx (pow (log (- (exp x) -1)) 3) #s(hole binary64 (+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* x (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (pow (log 2) 2)))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (+ (* x (+ (log 2) (* y (log 2)))) (pow (log 2) 2))))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (+ (* x (+ (log 2) (+ (* x (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y))))) (* y (log 2))))) (pow (log 2) 2))))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (+ (* x (+ (log 2) (+ (* x (+ 1/4 (+ (* 1/4 (log 2)) (+ (* x (+ 1/8 (* 1/8 y))) (* y (+ 1/2 y)))))) (* y (log 2))))) (pow (log 2) 2))))
#s(approx (+ (* y x) (log (- (exp x) -1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 y)))))
#s(approx (+ (* y x) (log (- (exp x) -1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ y (* 1/8 x)))))))
#s(approx (+ (* y x) (log (- (exp x) -1))) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (+ y (* x (+ 1/8 (* -1/192 (pow x 2))))))))))
#s(approx (pow (log (- (exp x) -1)) 2) #s(hole binary64 (+ (* x (log 2)) (pow (log 2) 2))))
#s(approx (pow (log (- (exp x) -1)) 2) #s(hole binary64 (+ (* x (+ (log 2) (* x (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))))
#s(approx (pow (log (- (exp x) -1)) 2) #s(hole binary64 (+ (* x (+ (log 2) (* x (+ 1/4 (+ (* 1/8 x) (* 1/4 (log 2))))))) (pow (log 2) 2))))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (* -1 (/ (* (pow x 3) (pow y 3)) (pow (log 2) 2)))))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (* (pow x 3) (+ (* -1 (/ (pow y 3) (pow (log 2) 2))) (/ (* x (* (pow y 3) (+ (log 2) (* y (log 2))))) (pow (log 2) 4))))))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (* (pow x 3) (+ (* -1 (/ (pow y 3) (pow (log 2) 2))) (* x (+ (* x (+ (* -1 (/ (* (pow y 3) (pow (+ (log 2) (* y (log 2))) 2)) (pow (log 2) 6))) (/ (* (pow y 3) (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y))))) (pow (log 2) 4)))) (/ (* (pow y 3) (+ (log 2) (* y (log 2)))) (pow (log 2) 4))))))))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (* (pow x 3) (+ (* -1 (/ (pow y 3) (pow (log 2) 2))) (* x (+ (* x (+ (* -1 (/ (* (pow y 3) (pow (+ (log 2) (* y (log 2))) 2)) (pow (log 2) 6))) (+ (* x (+ (* -1 (/ (* (+ (log 2) (* y (log 2))) (+ (* -1 (/ (* (pow y 3) (pow (+ (log 2) (* y (log 2))) 2)) (pow (log 2) 6))) (/ (* (pow y 3) (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y))))) (pow (log 2) 4)))) (pow (log 2) 2))) (+ (* -1 (/ (* (pow y 3) (* (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y)))) (+ (log 2) (* y (log 2))))) (pow (log 2) 6))) (/ (* (pow y 3) (+ 1/8 (* 1/8 y))) (pow (log 2) 4))))) (/ (* (pow y 3) (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y))))) (pow (log 2) 4))))) (/ (* (pow y 3) (+ (log 2) (* y (log 2)))) (pow (log 2) 4))))))))
#s(approx (* (* (* (* y x) y) x) (* (neg x) y)) #s(hole binary64 (* -1 (* (pow x 3) (pow y 3)))))
#s(approx (* (* (* y x) y) x) #s(hole binary64 (* (pow x 2) (pow y 2))))
#s(approx (* (* y x) y) #s(hole binary64 (* x (pow y 2))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (log (+ 1 (exp x))) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (+ 1 (exp x)) #s(hole binary64 (+ 1 (exp x))))
#s(approx (+ 2 x) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (* x (+ (* -1 y) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))) (+ (/ (log (+ 1 (exp x))) x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))))))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (* x (+ (* -1 y) (+ (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) (* (pow x 3) y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 3) (pow y 2)))) (+ (/ (log (+ 1 (exp x))) x) (+ (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y)) (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 3) (pow y 2))))))))))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) (pow y 2)))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 4) (* x (pow y 3)))) (/ (pow (log (+ 1 (exp x))) 3) (pow y 2))) (pow x 2))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (pow y 4))) (/ (pow (log (+ 1 (exp x))) 5) (pow y 4))) (pow x 2))) (/ (pow (log (+ 1 (exp x))) 3) (pow y 2))) (/ (pow (log (+ 1 (exp x))) 4) (* x (pow y 3)))) (pow x 2))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (pow y 4))) (/ (pow (log (+ 1 (exp x))) 5) (pow y 4)))) y)) (* -1 (/ (pow (log (+ 1 (exp x))) 6) (pow y 5)))) (pow x 3))) (/ (pow (log (+ 1 (exp x))) 3) (pow y 2))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (* (pow x 2) (pow y 4)))) (+ (/ (pow (log (+ 1 (exp x))) 4) (* x (pow y 3))) (/ (pow (log (+ 1 (exp x))) 5) (* (pow x 2) (pow y 4)))))) (pow x 2))))
#s(approx (pow (log (- (exp x) -1)) 3) #s(hole binary64 (pow (log (+ 1 (exp x))) 3)))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (* (pow x 2) (+ (/ (* y (log (+ 1 (exp x)))) x) (pow y 2)))))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (* (pow x 2) (+ (/ (* y (log (+ 1 (exp x)))) x) (+ (/ (pow (log (+ 1 (exp x))) 2) (pow x 2)) (pow y 2))))))
#s(approx (+ (* y x) (log (- (exp x) -1))) #s(hole binary64 (* x (+ y (/ (log (+ 1 (exp x))) x)))))
#s(approx (pow (log (- (exp x) -1)) 2) #s(hole binary64 (pow (log (+ 1 (exp x))) 2)))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (* x (+ (* -1 y) (+ (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) (* (pow x 3) y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 3) (pow y 2)))) (+ (/ (log (+ 1 (exp x))) x) (/ (pow (log (+ 1 (exp x))) 2) (* (pow x 2) y))))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (* -1 (log (+ 1 (exp x))))) x)))))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) (* x y)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) x)) (* -1 (log (+ 1 (exp x))))) x)))))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (/ (+ (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (* x (pow y 4)))) (/ (pow (log (+ 1 (exp x))) 5) (* x (pow y 4)))) (* -1 (/ (pow (log (+ 1 (exp x))) 4) (pow y 3)))) x)) (/ (pow (log (+ 1 (exp x))) 3) (pow y 2))) (pow x 2))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (pow y 4))) (/ (pow (log (+ 1 (exp x))) 5) (pow y 4)))) (* x y)) (/ (pow (log (+ 1 (exp x))) 6) (* x (pow y 5)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (pow y 4))) (/ (pow (log (+ 1 (exp x))) 5) (pow y 4)))) x)) (* -1 (/ (pow (log (+ 1 (exp x))) 4) (pow y 3)))) x)) (/ (pow (log (+ 1 (exp x))) 3) (pow y 2))) (pow x 2))))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* y (log (+ 1 (exp x))))) (* -1 (/ (pow (log (+ 1 (exp x))) 2) x))) x)) (pow y 2)))))
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#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (* -1 (* x (+ y (* -1 (/ (- (* -1 (/ (- (+ (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) (* x y)) (/ (pow (log (+ 1 (exp x))) 3) (* x (pow y 2)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) y)) (/ (pow (log (+ 1 (exp x))) 2) y))) x)) (* -1 (log (+ 1 (exp x))))) x)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (+ (log (+ 1 (exp x))) (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (+ (log (+ 1 (exp x))) (* y (- (* y (- (/ (* x (* y (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) (log (+ 1 (exp x)))) (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (+ (log (+ 1 (exp x))) (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x)))))) (log (+ 1 (exp x))))) (* -1 (/ (pow x 3) (pow (log (+ 1 (exp x))) 2)))))) (+ (* -1 (/ (pow x 2) (log (+ 1 (exp x))))) (/ (pow x 2) (log (+ 1 (exp x))))))) x)))))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (+ (* x (* y (log (+ 1 (exp x))))) (pow (log (+ 1 (exp x))) 2))))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (+ (* y (+ (* x (log (+ 1 (exp x)))) (* (pow x 2) y))) (pow (log (+ 1 (exp x))) 2))))
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#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (* -1 (/ (* (pow x 3) (pow y 3)) (pow (log (+ 1 (exp x))) 2)))))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow (log (+ 1 (exp x))) 2))) (/ (* (pow x 4) y) (pow (log (+ 1 (exp x))) 3))))))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow (log (+ 1 (exp x))) 2))) (* y (+ (* y (+ (* -1 (/ (pow x 5) (pow (log (+ 1 (exp x))) 4))) (/ (pow x 5) (pow (log (+ 1 (exp x))) 4)))) (/ (pow x 4) (pow (log (+ 1 (exp x))) 3))))))))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (* (pow y 3) (+ (* -1 (/ (pow x 3) (pow (log (+ 1 (exp x))) 2))) (* y (+ (* y (+ (* -1 (/ (pow x 5) (pow (log (+ 1 (exp x))) 4))) (+ (* y (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 5) (pow (log (+ 1 (exp x))) 4))) (/ (pow x 5) (pow (log (+ 1 (exp x))) 4)))) (log (+ 1 (exp x))))) (* -1 (/ (pow x 6) (pow (log (+ 1 (exp x))) 5))))) (/ (pow x 5) (pow (log (+ 1 (exp x))) 4))))) (/ (pow x 4) (pow (log (+ 1 (exp x))) 3))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (* y (+ (* -1 x) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (/ (log (+ 1 (exp x))) y) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (* y (+ (* -1 x) (+ (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x (pow y 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) (pow y 3)))) (+ (/ (log (+ 1 (exp x))) y) (+ (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2))) (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) (pow y 3))))))))))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 4) (* (pow x 3) y))) (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (pow y 2))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (pow x 4))) (/ (pow (log (+ 1 (exp x))) 5) (pow x 4))) (pow y 2))) (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (/ (pow (log (+ 1 (exp x))) 4) (* (pow x 3) y))) (pow y 2))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (pow x 4))) (/ (pow (log (+ 1 (exp x))) 5) (pow x 4)))) x)) (* -1 (/ (pow (log (+ 1 (exp x))) 6) (pow x 5)))) (pow y 3))) (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (* (pow x 4) (pow y 2)))) (+ (/ (pow (log (+ 1 (exp x))) 4) (* (pow x 3) y)) (/ (pow (log (+ 1 (exp x))) 5) (* (pow x 4) (pow y 2)))))) (pow y 2))))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (* (pow y 2) (+ (/ (* x (log (+ 1 (exp x)))) y) (pow x 2)))))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (* (pow y 2) (+ (/ (* x (log (+ 1 (exp x)))) y) (+ (/ (pow (log (+ 1 (exp x))) 2) (pow y 2)) (pow x 2))))))
#s(approx (+ (* y x) (log (- (exp x) -1))) #s(hole binary64 (* y (+ x (/ (log (+ 1 (exp x))) y)))))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (* y (+ (* -1 x) (+ (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x (pow y 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) (pow y 3)))) (+ (/ (log (+ 1 (exp x))) y) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
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#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (* -1 (log (+ 1 (exp x))))) y)))))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (* -1 (/ (- (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) y)) (* -1 (log (+ 1 (exp x))))) y)))))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (/ (+ (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (* (pow x 4) y))) (/ (pow (log (+ 1 (exp x))) 5) (* (pow x 4) y))) (* -1 (/ (pow (log (+ 1 (exp x))) 4) (pow x 3)))) y)) (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (pow y 2))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (pow x 4))) (/ (pow (log (+ 1 (exp x))) 5) (pow x 4)))) (* x y)) (/ (pow (log (+ 1 (exp x))) 6) (* (pow x 5) y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (pow x 4))) (/ (pow (log (+ 1 (exp x))) 5) (pow x 4)))) y)) (* -1 (/ (pow (log (+ 1 (exp x))) 4) (pow x 3)))) y)) (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (pow y 2))))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (log (+ 1 (exp x))))) (* -1 (/ (pow (log (+ 1 (exp x))) 2) y))) y)) (pow x 2)))))
#s(approx (+ (* y x) (log (- (exp x) -1))) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (* -1 (/ (- (+ (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y)) (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) y)) (* -1 (log (+ 1 (exp x))))) y)))))))
Calls

6 calls:

TimeVariablePointExpression
16.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (pow (log (- (exp x) -1)) 3) (log (- (exp x) -1)) (- (exp x) -1) -1 3 (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) (* y x) (+ (* y x) (log (- (exp x) -1))) (pow (log (- (exp x) -1)) 2) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (* (* (* (* y x) y) x) (* (neg x) y)) (* (* (* y x) y) x) (* (* y x) y))
12.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (pow (log (- (exp x) -1)) 3) (log (- (exp x) -1)) (- (exp x) -1) -1 3 (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) (* y x) (+ (* y x) (log (- (exp x) -1))) (pow (log (- (exp x) -1)) 2) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (* (* (* (* y x) y) x) (* (neg x) y)) (* (* (* y x) y) x) (* (* y x) y))
10.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (pow (log (- (exp x) -1)) 3) (log (- (exp x) -1)) (- (exp x) -1) -1 3 (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) (* y x) (+ (* y x) (log (- (exp x) -1))) (pow (log (- (exp x) -1)) 2) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (* (* (* (* y x) y) x) (* (neg x) y)) (* (* (* y x) y) x) (* (* y x) y))
9.0ms
x
@0
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (pow (log (- (exp x) -1)) 3) (log (- (exp x) -1)) (- (exp x) -1) -1 3 (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) (* y x) (+ (* y x) (log (- (exp x) -1))) (pow (log (- (exp x) -1)) 2) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (* (* (* (* y x) y) x) (* (neg x) y)) (* (* (* y x) y) x) (* (* y x) y))
6.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (exp x) x (* x y) y (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) 2 (- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (+ 2 x) (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (pow (log (- (exp x) -1)) 3) (log (- (exp x) -1)) (- (exp x) -1) -1 3 (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) (* y x) (+ (* y x) (log (- (exp x) -1))) (pow (log (- (exp x) -1)) 2) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (* (* (* (* y x) y) x) (* (neg x) y)) (* (* (* y x) y) x) (* (* y x) y))

rewrite234.0ms (5.8%)

Memory
-35.1MiB live, 340.8MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07355906
07785101
153025025
088004898
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
134 → 231
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(*.f64 x y)
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x)))
#s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 2 binary64) x)
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#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 y y))) (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 x x)) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) y)))) (*.f64 y y)))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/.f64 (-.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) (*.f64 (log.f64 x) #s(literal 5 binary64))))) (neg.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) x)))) (*.f64 (*.f64 y y) y))) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))))) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) y)))) (*.f64 y y)))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) (*.f64 (fma.f64 x (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) (*.f64 x x)) (*.f64 y y)))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) (*.f64 (fma.f64 x (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) (fma.f64 x x (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 y y)))) (*.f64 y y)))
#s(approx (+ (* y x) (log (- (exp x) -1))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) x) y))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 x x))) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x))) (neg.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x)))) (neg.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) x)) (*.f64 (*.f64 (*.f64 y y) y) x))))) (neg.f64 x)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) y) (neg.f64 x))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (*.f64 (neg.f64 y) (+.f64 (/.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) y) x)))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 y x))) (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) y)) x)))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) x)) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (*.f64 y x)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) x))) y)) (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) y)) x)))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) y))) (neg.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 x x) x)))) y)) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 x x))) (*.f64 y y)))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 y x)) (-.f64 (/.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64)) (*.f64 (log.f64 x) #s(literal 5 binary64)))) y) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))))) y)) (neg.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 x x) x)))) y)) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 x x))) (*.f64 y y)))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) (*.f64 (fma.f64 x x (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) y))) y))) (*.f64 y y)))
#s(approx (+ (* y x) (log (- (exp x) -1))) (*.f64 (neg.f64 y) (+.f64 (/.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) y) (neg.f64 x))))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) x)) (*.f64 y x)) (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 x x) y)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) x)))) y)) (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) y)) x)))

eval31.0ms (0.8%)

Memory
34.7MiB live, 87.0MiB allocated; 4ms collecting garbage
Compiler

Compiled 6 193 to 1 379 computations (77.7% saved)

prune8.0ms (0.2%)

Memory
-24.2MiB live, 23.0MiB allocated; 1ms collecting garbage
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2251226
Fresh033
Picked145
Done000
Total2268234
Accuracy
99.7%
Counts
234 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓65.8%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
✓89.6%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶62.4%
(+.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
▶76.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶82.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
✓50.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
▶50.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
Compiler

Compiled 123 to 102 computations (17.1% saved)

series59.0ms (1.5%)

Memory
25.0MiB live, 164.6MiB allocated; 10ms collecting garbage
Counts
32 → 128
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
#s(literal 1/8 binary64)
(+.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))
(log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 3 binary64)
(fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 y x)
(fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y))
(*.f64 (*.f64 (*.f64 y x) y) x)
(*.f64 (*.f64 y x) y)
(*.f64 (neg.f64 x) y)
(neg.f64 x)
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (- (+ 1/8 (* 3/4 (/ 1 (log 2)))) (+ (* 1/4 (/ 1 (log 2))) (+ (/ (* y (+ 1/2 y)) (log 2)) (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2))))))) y)))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (- (+ 1/8 (+ (* 3/4 (/ 1 (log 2))) (* x (- (+ (* -1 (/ (pow y 3) (pow (log 2) 2))) (+ (* 1/4 (/ 1 (log 2))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (pow (log 2) 2))))) (+ (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ y (log 2))) (+ (/ (* (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y)))) (- 1/2 y)) (pow (log 2) 2)) (/ (* (+ (log 2) (* y (log 2))) (- (+ 1/8 (* 3/4 (/ 1 (log 2)))) (+ (* 1/4 (/ 1 (log 2))) (+ (/ (* y (+ 1/2 y)) (log 2)) (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2)))))) (pow (log 2) 2))))))))) (+ (* 1/4 (/ 1 (log 2))) (+ (/ (* y (+ 1/2 y)) (log 2)) (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2))))))) y)))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (- (+ 1/8 (+ (* 3/4 (/ 1 (log 2))) (* x (- (+ (* 1/4 (/ 1 (log 2))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (pow (log 2) 2)))) (+ (* 1/8 (/ 1 (log 2))) (+ (* 1/8 (/ y (log 2))) (+ (/ (* (+ 1/4 (+ (* 1/4 (log 2)) (* y (+ 1/2 y)))) (- 1/2 y)) (pow (log 2) 2)) (/ (* (+ (log 2) (* y (log 2))) (- (+ 1/8 (* 3/4 (/ 1 (log 2)))) (+ (* 1/4 (/ 1 (log 2))) (+ (/ (* y (+ 1/2 y)) (log 2)) (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2)))))) (pow (log 2) 2))))))))) (+ (* 1/4 (/ 1 (log 2))) (+ (/ (* y (+ 1/2 y)) (log 2)) (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2))))))) y)))))
#s(approx (pow (log (- (exp x) -1)) 3) #s(hole binary64 (pow (log 2) 3)))
#s(approx (pow (log (- (exp x) -1)) 3) #s(hole binary64 (+ (* x (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))))
#s(approx (pow (log (- (exp x) -1)) 3) #s(hole binary64 (+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))))
#s(approx (pow (log (- (exp x) -1)) 3) #s(hole binary64 (+ (* x (+ (* 1/2 (pow (log 2) 2)) (+ (* x (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* x (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (log (- (exp x) -1)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (pow (log 2) 2)))
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#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (pow x 4))) (/ (pow (log (+ 1 (exp x))) 5) (pow x 4)))) x)) (* -1 (/ (pow (log (+ 1 (exp x))) 6) (pow x 5)))) (pow y 3))) (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (* (pow x 4) (pow y 2)))) (+ (/ (pow (log (+ 1 (exp x))) 4) (* (pow x 3) y)) (/ (pow (log (+ 1 (exp x))) 5) (* (pow x 4) (pow y 2)))))) (pow y 2))))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (* (pow y 2) (+ (/ (* x (log (+ 1 (exp x)))) y) (pow x 2)))))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (* (pow y 2) (+ (/ (* x (log (+ 1 (exp x)))) y) (+ (/ (pow (log (+ 1 (exp x))) 2) (pow y 2)) (pow x 2))))))
#s(approx (+ (* y x) (log (- (exp x) -1))) #s(hole binary64 (* y (+ x (/ (log (+ 1 (exp x))) y)))))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (* y (+ (* -1 x) (+ (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x (pow y 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) (pow y 3)))) (+ (/ (log (+ 1 (exp x))) y) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
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#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (* -1 (log (+ 1 (exp x))))) y)))))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (* -1 (/ (- (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) y)) (* -1 (log (+ 1 (exp x))))) y)))))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (/ (+ (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (* (pow x 4) y))) (/ (pow (log (+ 1 (exp x))) 5) (* (pow x 4) y))) (* -1 (/ (pow (log (+ 1 (exp x))) 4) (pow x 3)))) y)) (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (pow y 2))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (pow x 4))) (/ (pow (log (+ 1 (exp x))) 5) (pow x 4)))) (* x y)) (/ (pow (log (+ 1 (exp x))) 6) (* (pow x 5) y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (pow x 4))) (/ (pow (log (+ 1 (exp x))) 5) (pow x 4)))) y)) (* -1 (/ (pow (log (+ 1 (exp x))) 4) (pow x 3)))) y)) (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (pow y 2))))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (log (+ 1 (exp x))))) (* -1 (/ (pow (log (+ 1 (exp x))) 2) y))) y)) (pow x 2)))))
#s(approx (+ (* y x) (log (- (exp x) -1))) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (* -1 (/ (- (+ (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y)) (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) y)) (* -1 (log (+ 1 (exp x))))) y)))))))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 y x (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (pow (log (- (exp x) -1)) 3) (log (- (exp x) -1)) (- (exp x) -1) (exp x) 1 -1 3 (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) (* y x) (+ (* y x) (log (- (exp x) -1))) (pow (log (- (exp x) -1)) 2) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (* (* (* (* y x) y) x) (* (neg x) y)) (* (* (* y x) y) x) (* (* y x) y) (* (neg x) y) (neg x))
13.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 y x (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (pow (log (- (exp x) -1)) 3) (log (- (exp x) -1)) (- (exp x) -1) (exp x) 1 -1 3 (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) (* y x) (+ (* y x) (log (- (exp x) -1))) (pow (log (- (exp x) -1)) 2) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (* (* (* (* y x) y) x) (* (neg x) y)) (* (* (* y x) y) x) (* (* y x) y) (* (neg x) y) (neg x))
11.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 y x (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (pow (log (- (exp x) -1)) 3) (log (- (exp x) -1)) (- (exp x) -1) (exp x) 1 -1 3 (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) (* y x) (+ (* y x) (log (- (exp x) -1))) (pow (log (- (exp x) -1)) 2) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (* (* (* (* y x) y) x) (* (neg x) y)) (* (* (* y x) y) x) (* (* y x) y) (* (neg x) y) (neg x))
6.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 y x (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (pow (log (- (exp x) -1)) 3) (log (- (exp x) -1)) (- (exp x) -1) (exp x) 1 -1 3 (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) (* y x) (+ (* y x) (log (- (exp x) -1))) (pow (log (- (exp x) -1)) 2) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (* (* (* (* y x) y) x) (* (neg x) y)) (* (* (* y x) y) x) (* (* y x) y) (* (neg x) y) (neg x))
6.0ms
x
@0
((- (log (+ 1 (exp x))) (* x y)) (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) 1/2 y x (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (pow (log (- (exp x) -1)) 3) (log (- (exp x) -1)) (- (exp x) -1) (exp x) 1 -1 3 (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) (* y x) (+ (* y x) (log (- (exp x) -1))) (pow (log (- (exp x) -1)) 2) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (* (* (* (* y x) y) x) (* (neg x) y)) (* (* (* y x) y) x) (* (* y x) y) (* (neg x) y) (neg x))

rewrite242.0ms (6%)

Memory
19.7MiB live, 294.6MiB allocated; 59ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08336980
08676031
159705961
081665381
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
160 → 250
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
#s(literal 1/8 binary64)
(+.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
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(pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))
(log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 3 binary64)
(fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 y x)
(fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y))
(*.f64 (*.f64 (*.f64 y x) y) x)
(*.f64 (*.f64 y x) y)
(*.f64 (neg.f64 x) y)
(neg.f64 x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (- (+ 1/8 (* 3/4 (/ 1 (log 2)))) (+ (* 1/4 (/ 1 (log 2))) (+ (/ (* y (+ 1/2 y)) (log 2)) (/ (* (+ (log 2) (* y (log 2))) (- 1/2 y)) (pow (log 2) 2))))))) y)))))
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#s(approx (pow (log (- (exp x) -1)) 3) #s(hole binary64 (pow (log 2) 3)))
#s(approx (pow (log (- (exp x) -1)) 3) #s(hole binary64 (+ (* x (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))))
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#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (pow x 4))) (/ (pow (log (+ 1 (exp x))) 5) (pow x 4))) (pow y 2))) (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (/ (pow (log (+ 1 (exp x))) 4) (* (pow x 3) y))) (pow y 2))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (pow x 4))) (/ (pow (log (+ 1 (exp x))) 5) (pow x 4)))) x)) (* -1 (/ (pow (log (+ 1 (exp x))) 6) (pow x 5)))) (pow y 3))) (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (* (pow x 4) (pow y 2)))) (+ (/ (pow (log (+ 1 (exp x))) 4) (* (pow x 3) y)) (/ (pow (log (+ 1 (exp x))) 5) (* (pow x 4) (pow y 2)))))) (pow y 2))))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (* (pow y 2) (+ (/ (* x (log (+ 1 (exp x)))) y) (pow x 2)))))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (* (pow y 2) (+ (/ (* x (log (+ 1 (exp x)))) y) (+ (/ (pow (log (+ 1 (exp x))) 2) (pow y 2)) (pow x 2))))))
#s(approx (+ (* y x) (log (- (exp x) -1))) #s(hole binary64 (* y (+ x (/ (log (+ 1 (exp x))) y)))))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (* y (+ (* -1 x) (+ (* -1 (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x (pow y 3)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) (pow y 3)))) (+ (/ (log (+ 1 (exp x))) y) (/ (pow (log (+ 1 (exp x))) 2) (* x (pow y 2)))))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (/ (pow (log (+ 1 (exp x))) 2) (* x y))) (* -1 (log (+ 1 (exp x))))) y)))))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (* -1 (/ (- (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y)) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) y)) (* -1 (log (+ 1 (exp x))))) y)))))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (/ (+ (* -1 (/ (- (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (* (pow x 4) y))) (/ (pow (log (+ 1 (exp x))) 5) (* (pow x 4) y))) (* -1 (/ (pow (log (+ 1 (exp x))) 4) (pow x 3)))) y)) (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (pow y 2))))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (pow x 4))) (/ (pow (log (+ 1 (exp x))) 5) (pow x 4)))) (* x y)) (/ (pow (log (+ 1 (exp x))) 6) (* (pow x 5) y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 5) (pow x 4))) (/ (pow (log (+ 1 (exp x))) 5) (pow x 4)))) y)) (* -1 (/ (pow (log (+ 1 (exp x))) 4) (pow x 3)))) y)) (/ (pow (log (+ 1 (exp x))) 3) (pow x 2))) (pow y 2))))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (log (+ 1 (exp x))))) (* -1 (/ (pow (log (+ 1 (exp x))) 2) y))) y)) (pow x 2)))))
#s(approx (+ (* y x) (log (- (exp x) -1))) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (log (+ 1 (exp x))) y)))))))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (* -1 (/ (- (+ (/ (* (log (+ 1 (exp x))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) (* x y)) (/ (pow (log (+ 1 (exp x))) 3) (* (pow x 2) y))) (+ (* -1 (/ (pow (log (+ 1 (exp x))) 2) x)) (/ (pow (log (+ 1 (exp x))) 2) x))) y)) (* -1 (log (+ 1 (exp x))))) y)))))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
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(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
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(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y))
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(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64))))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))) (-.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) (*.f64 y y)) (+.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y))
(/.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x x) x) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/8 binary64) x) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 y y) y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (fma.f64 y y (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y))))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(fma.f64 x #s(literal 1/8 binary64) (-.f64 #s(literal 1/2 binary64) y))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (-.f64 #s(literal 1/2 binary64) y))
(+.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) y))
#s(literal 1/8 binary64)
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 y (*.f64 x (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))))) (*.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 y (*.f64 x (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))))) (*.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))))) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 y (*.f64 x (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))))) (*.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 y (*.f64 x (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))))) (*.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))))))))
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#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 y (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) x) (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))))) (*.f64 (*.f64 y y) y)))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 4 binary64)))) y (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)))) y (neg.f64 (/.f64 (*.f64 (*.f64 x x) x) (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))))) (*.f64 (*.f64 y y) y)))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (*.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 5 binary64)))) (neg.f64 (*.f64 x (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 4 binary64)))) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))))) y (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 4 binary64))))) y (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)))) y (neg.f64 (/.f64 (*.f64 (*.f64 x x) x) (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))))) (*.f64 (*.f64 y y) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) x) y))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) (neg.f64 x)) y))
#s(approx (- 1/2 y) (neg.f64 y))
#s(approx (- 1/2 y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) (neg.f64 x)) y))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) (neg.f64 x)) y))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x)) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) (neg.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x)))) (neg.f64 x)) y))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (*.f64 (+.f64 (+.f64 (neg.f64 x) (neg.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) x)) (*.f64 (*.f64 (*.f64 y y) y) x))))) (+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 x x))) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 x x))) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x)))) (neg.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x))))) y))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/.f64 (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 x x)) (neg.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) y)))) (*.f64 y y)))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 y y))) (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 x x)) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) y)))) (*.f64 y y)))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/.f64 (-.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) x)))) (*.f64 (*.f64 y y) y))) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))))) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) y)))) (*.f64 y y)))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) (*.f64 (fma.f64 x (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) (*.f64 x x)) (*.f64 y y)))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) (*.f64 (fma.f64 x (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) (fma.f64 x x (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 y y)))) (*.f64 y y)))
#s(approx (+ (* y x) (log (- (exp x) -1))) (*.f64 (+.f64 (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y) x) y))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 x x))) (/.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) y)) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x))) (neg.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) x)))) (neg.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) x)) (*.f64 (*.f64 (*.f64 y y) y) x))))) (neg.f64 x)) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) y) (neg.f64 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) x)))
#s(approx (- 1/2 y) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y)) x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64))))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (*.f64 (neg.f64 y) (+.f64 (/.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) y) x)))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 y x))) (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) y)) x)))
#s(approx (+ (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)))) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) x)) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (*.f64 y x)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) x))) y)) (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) y)) x)))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) y))) (neg.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 x x) x)))) y)) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 x x))) (*.f64 y y)))
#s(approx (/ (pow (log (- (exp x) -1)) 3) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 y x)) (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) y)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))))) y)) (neg.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 x x) x)))) y)) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 x x))) (*.f64 y y)))
#s(approx (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2)) (*.f64 (fma.f64 x x (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) y))) y))) (*.f64 y y)))
#s(approx (+ (* y x) (log (- (exp x) -1))) (*.f64 (neg.f64 y) (+.f64 (/.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) y) (neg.f64 x))))
#s(approx (/ (* (* (* (* y x) y) x) (* (neg x) y)) (+ (* (* y x) (+ (* y x) (log (- (exp x) -1)))) (pow (log (- (exp x) -1)) 2))) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) x)) (*.f64 y x)) (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 x x) y)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) x)))) y)) (neg.f64 (log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) y)) x)))

eval58.0ms (1.4%)

Memory
-36.7MiB live, 67.0MiB allocated; 42ms collecting garbage
Compiler

Compiled 7 004 to 1 518 computations (78.3% saved)

prune9.0ms (0.2%)

Memory
22.3MiB live, 22.3MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New2247231
Fresh000
Picked314
Done044
Total22712239
Accuracy
99.7%
Counts
239 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓65.8%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
✓89.6%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
62.4%
(+.f64 (/.f64 (pow.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) #s(literal 2 binary64)))))
60.9%
(+.f64 (/.f64 #s(approx (pow (log (- (exp x) -1)) 3) (fma.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) x (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
▶54.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
▶89.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
▶51.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
▶60.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))))
✓50.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
✓50.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶34.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
Compiler

Compiled 445 to 345 computations (22.5% saved)

series96.0ms (2.4%)

Memory
-29.6MiB live, 160.6MiB allocated; 33ms collecting garbage
Counts
30 → 113
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) (neg.f64 y))
(neg.f64 y)
y
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
#s(literal 1/8 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))))
(+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))
(-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))
(*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (+ (log 2) (* x (- (* -1 (* x (+ (* -1 (/ (pow (- 1/2 y) 2) (log 2))) (/ (pow (- 1/2 y) 2) (log 2))))) (* -1 (- 1/2 y)))))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (+ (log 2) (* x (- (* x (- (* -1 (/ (* x (* (+ (* -1 (/ (pow (- 1/2 y) 2) (log 2))) (/ (pow (- 1/2 y) 2) (log 2))) (- 1/2 y))) (log 2))) (+ (* -1 (/ (pow (- 1/2 y) 2) (log 2))) (/ (pow (- 1/2 y) 2) (log 2))))) (* -1 (- 1/2 y)))))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (pow (log 2) 3)))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (+ (* (pow x 3) (pow (- 1/2 y) 3)) (pow (log 2) 3))))
#s(approx (pow (* (- 1/2 y) x) 3) #s(hole binary64 (* (pow x 3) (pow (- 1/2 y) 3))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (pow (log 2) 2)))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (+ (* -1 (* x (* (log 2) (- 1/2 y)))) (pow (log 2) 2))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (+ (* x (- (* x (pow (- 1/2 y) 2)) (* (log 2) (- 1/2 y)))) (pow (log 2) 2))))
#s(approx (* (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (* (log 2) (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* x (- (/ (log (+ 1 (exp x))) x) y))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (- (+ 1/2 (/ (log 2) x)) y))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* 1/8 x)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (* x (- (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow (log 2) 2) (- 1/2 y))) (/ (pow (log 2) 2) (- 1/2 y))) (pow x 2)))) (+ y (* -1 (/ (log 2) x)))))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (* x (- (+ 1/2 (* -1 (/ (* (log 2) (+ (* -1 (/ (pow (log 2) 2) (- 1/2 y))) (/ (pow (log 2) 2) (- 1/2 y)))) (* (pow x 3) (- 1/2 y))))) (+ y (+ (* -1 (/ (log 2) x)) (+ (* -1 (/ (pow (log 2) 2) (* (pow x 2) (- 1/2 y)))) (/ (pow (log 2) 2) (* (pow x 2) (- 1/2 y))))))))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (* (pow x 3) (+ (/ (pow (log 2) 3) (pow x 3)) (pow (- 1/2 y) 3)))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (* (pow x 2) (pow (- 1/2 y) 2))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (* (log 2) (- 1/2 y)) x)) (pow (- 1/2 y) 2)))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (* (pow x 2) (- (+ (/ (pow (log 2) 2) (pow x 2)) (pow (- 1/2 y) 2)) (/ (* (log 2) (- 1/2 y)) x)))))
#s(approx (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* -1 (* x (* (log 2) (- 1/2 y))))))
#s(approx (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* x (- (/ (pow (log 2) 2) x) (* (log 2) (- 1/2 y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (- (+ (* -1 (/ (pow (log 2) 2) (* x (- 1/2 y)))) (/ (pow (log 2) 2) (* x (- 1/2 y)))) (* -1 (log 2))) x)))))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (log 2) (+ (* -1 (/ (pow (log 2) 2) (- 1/2 y))) (/ (pow (log 2) 2) (- 1/2 y)))) (* x (- 1/2 y)))) (+ (* -1 (/ (pow (log 2) 2) (- 1/2 y))) (/ (pow (log 2) 2) (- 1/2 y)))) x)) (* -1 (log 2))) x)))))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (pow (log 2) 3) (pow x 3))) (* -1 (pow (- 1/2 y) 3)))))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (pow (log 2) 2) x)) (* -1 (* (log 2) (- 1/2 y)))) x)) (pow (- 1/2 y) 2)))))
#s(approx (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow (log 2) 2) x)) (* -1 (* (log 2) (- 1/2 y))))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log (+ 1 (exp x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log (+ 1 (exp x))) (* -1 (* x y)))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (* 1/2 x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))))
#s(approx (- 1/2 y) #s(hole binary64 1/2))
#s(approx (- 1/2 y) #s(hole binary64 (+ 1/2 (* -1 y))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (+ (* -1 (* x y)) (* 1/2 x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (* 1/8 x))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (+ 1/2 (+ (* -1 y) (* 1/8 x)))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (/ (+ (* 1/8 (pow x 3)) (pow (log 2) 3)) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (+ (* 1/8 (/ (pow x 3) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))))) (+ (* y (- (* -3/4 (/ (pow x 3) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))))) (/ (* (+ (* 1/8 (pow x 3)) (pow (log 2) 3)) (- (* -1 (pow x 2)) (* -1 (* x (log 2))))) (pow (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))) 2)))) (/ (pow (log 2) 3) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))))))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (+ (* 1/8 (/ (pow x 3) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))))) (+ (* y (- (+ (* -3/4 (/ (pow x 3) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))))) (* y (- (* 3/2 (/ (pow x 3) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))))) (+ (/ (* (- (* -1 (pow x 2)) (* -1 (* x (log 2)))) (- (* -3/4 (/ (pow x 3) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))))) (/ (* (+ (* 1/8 (pow x 3)) (pow (log 2) 3)) (- (* -1 (pow x 2)) (* -1 (* x (log 2))))) (pow (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))) 2)))) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2))))) (/ (* (pow x 2) (+ (* 1/8 (pow x 3)) (pow (log 2) 3))) (pow (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))) 2)))))) (/ (* (+ (* 1/8 (pow x 3)) (pow (log 2) 3)) (- (* -1 (pow x 2)) (* -1 (* x (log 2))))) (pow (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))) 2)))) (/ (pow (log 2) 3) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))))))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (+ (* 1/8 (/ (pow x 3) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))))) (+ (* y (- (+ (* -3/4 (/ (pow x 3) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))))) (* y (- (+ (* 3/2 (/ (pow x 3) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))))) (* y (- (* -1 (/ (pow x 3) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))))) (+ (/ (* (- (* -1 (pow x 2)) (* -1 (* x (log 2)))) (- (* 3/2 (/ (pow x 3) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))))) (+ (/ (* (- (* -1 (pow x 2)) (* -1 (* x (log 2)))) (- (* -3/4 (/ (pow x 3) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))))) (/ (* (+ (* 1/8 (pow x 3)) (pow (log 2) 3)) (- (* -1 (pow x 2)) (* -1 (* x (log 2))))) (pow (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))) 2)))) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2))))) (/ (* (pow x 2) (+ (* 1/8 (pow x 3)) (pow (log 2) 3))) (pow (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))) 2))))) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2))))) (/ (* (pow x 2) (- (* -3/4 (/ (pow x 3) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))))) (/ (* (+ (* 1/8 (pow x 3)) (pow (log 2) 3)) (- (* -1 (pow x 2)) (* -1 (* x (log 2))))) (pow (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))) 2)))) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2))))))))) (+ (/ (* (- (* -1 (pow x 2)) (* -1 (* x (log 2)))) (- (* -3/4 (/ (pow x 3) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))))) (/ (* (+ (* 1/8 (pow x 3)) (pow (log 2) 3)) (- (* -1 (pow x 2)) (* -1 (* x (log 2))))) (pow (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))) 2)))) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2))))) (/ (* (pow x 2) (+ (* 1/8 (pow x 3)) (pow (log 2) 3))) (pow (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))) 2)))))) (/ (* (+ (* 1/8 (pow x 3)) (pow (log 2) 3)) (- (* -1 (pow x 2)) (* -1 (* x (log 2))))) (pow (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))) 2)))) (/ (pow (log 2) 3) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))))))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (+ (* 1/8 (pow x 3)) (pow (log 2) 3))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (+ (* -3/4 (* (pow x 3) y)) (+ (* 1/8 (pow x 3)) (pow (log 2) 3)))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (+ (* 1/8 (pow x 3)) (+ (* y (+ (* -3/4 (pow x 3)) (* 3/2 (* (pow x 3) y)))) (pow (log 2) 3)))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (+ (* 1/8 (pow x 3)) (+ (* y (+ (* -3/4 (pow x 3)) (* y (+ (* -1 (* (pow x 3) y)) (* 3/2 (pow x 3)))))) (pow (log 2) 3)))))
#s(approx (pow (* (- 1/2 y) x) 3) #s(hole binary64 (* 1/8 (pow x 3))))
#s(approx (pow (* (- 1/2 y) x) 3) #s(hole binary64 (+ (* -3/4 (* (pow x 3) y)) (* 1/8 (pow x 3)))))
#s(approx (pow (* (- 1/2 y) x) 3) #s(hole binary64 (+ (* 1/8 (pow x 3)) (* y (+ (* -3/4 (pow x 3)) (* 3/2 (* (pow x 3) y)))))))
#s(approx (pow (* (- 1/2 y) x) 3) #s(hole binary64 (+ (* 1/8 (pow x 3)) (* y (+ (* -3/4 (pow x 3)) (* y (+ (* -1 (* (pow x 3) y)) (* 3/2 (pow x 3)))))))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2))))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (- (+ (* 1/4 (pow x 2)) (+ (* y (- (* -1 (pow x 2)) (* -1 (* x (log 2))))) (pow (log 2) 2))) (* 1/2 (* x (log 2))))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (- (+ (* 1/4 (pow x 2)) (+ (* y (- (+ (* -1 (pow x 2)) (* (pow x 2) y)) (* -1 (* x (log 2))))) (pow (log 2) 2))) (* 1/2 (* x (log 2))))))
#s(approx (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))) #s(hole binary64 (- (pow (log 2) 2) (* 1/2 (* x (log 2))))))
#s(approx (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))) #s(hole binary64 (- (+ (* x (* y (log 2))) (pow (log 2) 2)) (* 1/2 (* x (log 2))))))
#s(approx (* (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* 1/2 (* x (log 2)))))
#s(approx (* (* (- 1/2 y) x) (log 2)) #s(hole binary64 (+ (* -1 (* x (* y (log 2)))) (* 1/2 (* x (log 2))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* y (- (/ (log (+ 1 (exp x))) y) x))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))))
#s(approx (- 1/2 y) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) 1))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* y (+ (* -1 x) (* 1/2 (/ x y))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (* y (- (+ (* -1 x) (* 3/2 (/ x y))) (* -1 (/ (- (* -1 (pow x 2)) (* -1 (* x (log 2)))) (* x y)))))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (* y (- (+ (* -1 x) (+ (* -3/4 (/ x (pow y 2))) (* 3/2 (/ x y)))) (+ (* -1 (/ (- (* -1 (pow x 2)) (* -1 (* x (log 2)))) (* x y))) (+ (* -1 (/ (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))) (* x (pow y 2)))) (/ (* (- (* -1 (pow x 2)) (* -1 (* x (log 2)))) (- (* 3/2 x) (* -1 (/ (- (* -1 (pow x 2)) (* -1 (* x (log 2)))) x)))) (* (pow x 2) (pow y 2)))))))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (* y (- (+ (* -1 x) (+ (* -3/4 (/ x (pow y 2))) (+ (* 1/8 (/ x (pow y 3))) (+ (* 3/2 (/ x y)) (/ (pow (log 2) 3) (* (pow x 2) (pow y 3))))))) (+ (* -1 (/ (- (* -1 (pow x 2)) (* -1 (* x (log 2)))) (* x y))) (+ (* -1 (/ (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))) (* x (pow y 2)))) (+ (/ (* (- (* -1 (pow x 2)) (* -1 (* x (log 2)))) (- (* -3/4 x) (+ (* -1 (/ (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))) x)) (/ (* (- (* -1 (pow x 2)) (* -1 (* x (log 2)))) (- (* 3/2 x) (* -1 (/ (- (* -1 (pow x 2)) (* -1 (* x (log 2)))) x)))) (pow x 2))))) (* (pow x 2) (pow y 3))) (+ (/ (* (- (* -1 (pow x 2)) (* -1 (* x (log 2)))) (- (* 3/2 x) (* -1 (/ (- (* -1 (pow x 2)) (* -1 (* x (log 2)))) x)))) (* (pow x 2) (pow y 2))) (/ (* (- (* 3/2 x) (* -1 (/ (- (* -1 (pow x 2)) (* -1 (* x (log 2)))) x))) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2))))) (* (pow x 2) (pow y 3)))))))))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (* -1 (* (pow x 3) (pow y 3)))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (* (pow y 3) (+ (* -1 (pow x 3)) (* 3/2 (/ (pow x 3) y))))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (* (pow y 3) (+ (* -1 (pow x 3)) (+ (* -3/4 (/ (pow x 3) (pow y 2))) (* 3/2 (/ (pow x 3) y)))))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (* (pow y 3) (+ (* -1 (pow x 3)) (+ (* -3/4 (/ (pow x 3) (pow y 2))) (+ (* 1/8 (/ (pow x 3) (pow y 3))) (+ (* 3/2 (/ (pow x 3) y)) (/ (pow (log 2) 3) (pow y 3)))))))))
#s(approx (pow (* (- 1/2 y) x) 3) #s(hole binary64 (* (pow y 3) (+ (* -1 (pow x 3)) (+ (* -3/4 (/ (pow x 3) (pow y 2))) (+ (* 1/8 (/ (pow x 3) (pow y 3))) (* 3/2 (/ (pow x 3) y))))))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (* (pow x 2) (pow y 2))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ (pow x 2) y)) (pow x 2)) (* -1 (/ (* x (log 2)) y))))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ (pow x 2) y)) (+ (* 1/4 (/ (pow x 2) (pow y 2))) (+ (/ (pow (log 2) 2) (pow y 2)) (pow x 2)))) (+ (* -1 (/ (* x (log 2)) y)) (* 1/2 (/ (* x (log 2)) (pow y 2))))))))
#s(approx (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* x (* y (log 2)))))
#s(approx (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* y (- (/ (pow (log 2) 2) y) (+ (* -1 (* x (log 2))) (* 1/2 (/ (* x (log 2)) y)))))))
#s(approx (* (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* x (* y (log 2))))))
#s(approx (* (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* y (+ (* -1 (* x (log 2))) (* 1/2 (/ (* x (log 2)) y))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))))
#s(approx (+ (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))))
#s(approx (- 1/2 y) #s(hole binary64 (* -1 (* y (- 1 (* 1/2 (/ 1 y)))))))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* -1 (* y (+ x (* -1/2 (/ x y)))))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (+ (log 2) (* 3/2 x)) x) y)))))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (+ (log 2) (+ (* -1 (/ (- (+ (* 1/2 (log 2)) (* 3/4 x)) (+ (* 1/4 x) (+ (/ (* (- (+ (log 2) (* 3/2 x)) x) (- (pow x 2) (* x (log 2)))) (pow x 2)) (/ (pow (log 2) 2) x)))) y)) (* 3/2 x))) x) y)))))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (+ (log 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/8 x) (/ (pow (log 2) 3) (pow x 2))) (+ (/ (* (- (+ (log 2) (* 3/2 x)) x) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2))))) (pow x 2)) (/ (* (- (+ (* 1/2 (log 2)) (* 3/4 x)) (+ (* 1/4 x) (+ (/ (* (- (+ (log 2) (* 3/2 x)) x) (- (pow x 2) (* x (log 2)))) (pow x 2)) (/ (pow (log 2) 2) x)))) (- (pow x 2) (* x (log 2)))) (pow x 2)))) y)) (+ (* 1/2 (log 2)) (* 3/4 x))) (+ (* 1/4 x) (+ (/ (* (- (+ (log 2) (* 3/2 x)) x) (- (pow x 2) (* x (log 2)))) (pow x 2)) (/ (pow (log 2) 2) x)))) y)) (* 3/2 x))) x) y)))))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (* -1 (* (pow y 3) (+ (* -3/2 (/ (pow x 3) y)) (pow x 3))))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -3/4 (/ (pow x 3) y)) (* 3/2 (pow x 3))) y)) (pow x 3))))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (pow x 3)) (pow (log 2) 3)) y)) (* 3/4 (pow x 3))) y)) (* 3/2 (pow x 3))) y)) (pow x 3))))))
#s(approx (pow (* (- 1/2 y) x) 3) #s(hole binary64 (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow x 3) y)) (* 3/4 (pow x 3))) y)) (* 3/2 (pow x 3))) y)) (pow x 3))))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (- (pow x 2) (* x (log 2))) y)) (pow x 2)))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))) y)) (pow x 2)) (* x (log 2))) y)) (pow x 2)))))
#s(approx (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* -1 (* y (- (* -1 (/ (- (pow (log 2) 2) (* 1/2 (* x (log 2)))) y)) (* x (log 2)))))))
#s(approx (* (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (/ (* x (log 2)) y)) (* x (log 2)))))))
Calls

6 calls:

TimeVariablePointExpression
43.0ms
x
@0
((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- (log (+ 1 (exp x))) (* x y)) (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (pow (* (- 1/2 y) x) 3) 3 (pow (log 2) 3) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))) (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))
15.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- (log (+ 1 (exp x))) (* x y)) (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (pow (* (- 1/2 y) x) 3) 3 (pow (log 2) 3) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))) (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))
10.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- (log (+ 1 (exp x))) (* x y)) (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (pow (* (- 1/2 y) x) 3) 3 (pow (log 2) 3) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))) (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))
7.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- (log (+ 1 (exp x))) (* x y)) (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (pow (* (- 1/2 y) x) 3) 3 (pow (log 2) 3) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))) (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))
6.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (neg y) y x (log 2) 2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) 1/2 (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) 1/8 (- (log (+ 1 (exp x))) (* x y)) (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (pow (* (- 1/2 y) x) 3) 3 (pow (log 2) 3) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))) (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))

rewrite207.0ms (5.2%)

Memory
44.6MiB live, 231.7MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06845651
07264657
145414653
083374372
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
143 → 272
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) (neg.f64 y))
(neg.f64 y)
y
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
#s(literal 1/8 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))))
(+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))
(-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))
(*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (log 2)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- 1/2 y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(hole binary64 (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (- 1/2 y) x) #s(hole binary64 (* x (- 1/2 y))))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- 1/2 y)))
#s(approx (+ (* 1/8 x) (- 1/2 y)) #s(hole binary64 (- (+ 1/2 (* 1/8 x)) y)))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (+ (log 2) (* x (- (* -1 (* x (+ (* -1 (/ (pow (- 1/2 y) 2) (log 2))) (/ (pow (- 1/2 y) 2) (log 2))))) (* -1 (- 1/2 y)))))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (+ (log 2) (* x (- (* x (- (* -1 (/ (* x (* (+ (* -1 (/ (pow (- 1/2 y) 2) (log 2))) (/ (pow (- 1/2 y) 2) (log 2))) (- 1/2 y))) (log 2))) (+ (* -1 (/ (pow (- 1/2 y) 2) (log 2))) (/ (pow (- 1/2 y) 2) (log 2))))) (* -1 (- 1/2 y)))))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (pow (log 2) 3)))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (+ (* (pow x 3) (pow (- 1/2 y) 3)) (pow (log 2) 3))))
#s(approx (pow (* (- 1/2 y) x) 3) #s(hole binary64 (* (pow x 3) (pow (- 1/2 y) 3))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (pow (log 2) 2)))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (+ (* -1 (* x (* (log 2) (- 1/2 y)))) (pow (log 2) 2))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (+ (* x (- (* x (pow (- 1/2 y) 2)) (* (log 2) (- 1/2 y)))) (pow (log 2) 2))))
#s(approx (* (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* x (* (log 2) (- 1/2 y)))))
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#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (+ (log 2) (* 3/2 x)) x) y)))))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (+ (log 2) (+ (* -1 (/ (- (+ (* 1/2 (log 2)) (* 3/4 x)) (+ (* 1/4 x) (+ (/ (* (- (+ (log 2) (* 3/2 x)) x) (- (pow x 2) (* x (log 2)))) (pow x 2)) (/ (pow (log 2) 2) x)))) y)) (* 3/2 x))) x) y)))))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ (- (+ (log 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/8 x) (/ (pow (log 2) 3) (pow x 2))) (+ (/ (* (- (+ (log 2) (* 3/2 x)) x) (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2))))) (pow x 2)) (/ (* (- (+ (* 1/2 (log 2)) (* 3/4 x)) (+ (* 1/4 x) (+ (/ (* (- (+ (log 2) (* 3/2 x)) x) (- (pow x 2) (* x (log 2)))) (pow x 2)) (/ (pow (log 2) 2) x)))) (- (pow x 2) (* x (log 2)))) (pow x 2)))) y)) (+ (* 1/2 (log 2)) (* 3/4 x))) (+ (* 1/4 x) (+ (/ (* (- (+ (log 2) (* 3/2 x)) x) (- (pow x 2) (* x (log 2)))) (pow x 2)) (/ (pow (log 2) 2) x)))) y)) (* 3/2 x))) x) y)))))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (* -1 (* (pow y 3) (+ (* -3/2 (/ (pow x 3) y)) (pow x 3))))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -3/4 (/ (pow x 3) y)) (* 3/2 (pow x 3))) y)) (pow x 3))))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) #s(hole binary64 (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (pow x 3)) (pow (log 2) 3)) y)) (* 3/4 (pow x 3))) y)) (* 3/2 (pow x 3))) y)) (pow x 3))))))
#s(approx (pow (* (- 1/2 y) x) 3) #s(hole binary64 (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow x 3) y)) (* 3/4 (pow x 3))) y)) (* 3/2 (pow x 3))) y)) (pow x 3))))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (- (pow x 2) (* x (log 2))) y)) (pow x 2)))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow x 2)) (pow (log 2) 2)) (* 1/2 (* x (log 2)))) y)) (pow x 2)) (* x (log 2))) y)) (pow x 2)))))
#s(approx (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))) #s(hole binary64 (* -1 (* y (- (* -1 (/ (- (pow (log 2) 2) (* 1/2 (* x (log 2)))) y)) (* x (log 2)))))))
#s(approx (* (* (- 1/2 y) x) (log 2)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (/ (* x (log 2)) y)) (* x (log 2)))))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) (*.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) (*.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)) (*.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) (*.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64))))))
(fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x #s(approx (- 1/2 y) (neg.f64 y)) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (- 1/2 y) (neg.f64 y)) x))
(+.f64 (*.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (- 1/2 y) (neg.f64 y)) x))
#s(approx (- 1/2 y) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
y
x
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(*.f64 x (-.f64 #s(literal 1/2 binary64) y))
(pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
(+.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64))))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x))
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/8 binary64) x)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 #s(literal 1/8 binary64) x) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) #s(approx (- 1/2 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/8 binary64) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/8 binary64) x) #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
(+.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
#s(literal 1/8 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/2 binary64) y)) x (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/2 binary64) y)) x (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/2 binary64) y)) x (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/2 binary64) y)) x (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/2 binary64) y)) x (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 6 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 9 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 9 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 6 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) #s(literal 3 binary64)))))
(fma.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)))
(fma.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3/2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)))
(fma.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 x x) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)))
(+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3/2 binary64))))
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#s(literal 3 binary64)
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#s(approx x x)
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#s(approx (+ (* 1/8 x) (- 1/2 y)) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64))))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) x (log.f64 #s(literal 2 binary64))) x) y)) x)))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) (*.f64 (neg.f64 y) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 3/2 binary64) x (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) x (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) x (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) x (log.f64 #s(literal 2 binary64))) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 x x)) (/.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) x)))) y))) (log.f64 #s(literal 2 binary64))) x) y)) x)))
#s(approx (/ (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 3/2 binary64) x (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x x))) (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) x (log.f64 #s(literal 2 binary64))) x) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) x)))) (*.f64 (-.f64 (fma.f64 #s(literal 3/4 binary64) x (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) x (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) x (log.f64 #s(literal 2 binary64))) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 x x)) (/.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) x)))) (-.f64 (*.f64 x x) (*.f64 (log.f64 #s(literal 2 binary64)) x)))) (*.f64 x x))) y)) (fma.f64 #s(literal 3/4 binary64) x (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 #s(literal 1/4 binary64) x (fma.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) x (log.f64 #s(literal 2 binary64))) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 x x)) (/.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) x)))) y))) (log.f64 #s(literal 2 binary64))) x) y)) x) y)))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (*.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 x x) x) y) (*.f64 (*.f64 x x) x))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (*.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (fma.f64 (*.f64 x x) x (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) y) #s(literal -3/4 binary64) (*.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) x))) y)))))
#s(approx (+ (pow (* (- 1/2 y) x) 3) (pow (log 2) 3)) (neg.f64 (*.f64 (fma.f64 (*.f64 x x) x (neg.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) x) (neg.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) x) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) y))) y))) y))) (*.f64 (*.f64 y y) y))))
#s(approx (pow (* (- 1/2 y) x) 3) (*.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (fma.f64 (*.f64 x x) x (neg.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 x x) x) y) (*.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) x))) y))) y)))))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) (*.f64 (fma.f64 x x (neg.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 #s(literal 2 binary64)) x)) y))) (*.f64 y y)))
#s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) (*.f64 (fma.f64 x x (neg.f64 (/.f64 (-.f64 (fma.f64 x x (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) x)))) y))) (*.f64 (log.f64 #s(literal 2 binary64)) x)) y))) (*.f64 y y)))
#s(approx (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2))) (*.f64 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) x))) y)) (*.f64 (log.f64 #s(literal 2 binary64)) x))))
#s(approx (* (* (- 1/2 y) x) (log 2)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (log.f64 #s(literal 2 binary64)) y)) (*.f64 (log.f64 #s(literal 2 binary64)) x))))

eval57.0ms (1.4%)

Memory
-28.3MiB live, 62.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 5 074 to 1 515 computations (70.1% saved)

prune12.0ms (0.3%)

Memory
22.9MiB live, 22.9MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New2703273
Fresh112
Picked235
Done055
Total27312285
Accuracy
99.7%
Counts
285 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓65.8%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
✓89.6%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
60.9%
(+.f64 (/.f64 #s(approx (pow (log (- (exp x) -1)) 3) (fma.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) x (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
✓54.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓89.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
✓51.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
5.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) #s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x)))))
60.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))))
✓50.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
✓50.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
3.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
Compiler

Compiled 510 to 347 computations (32% saved)

regimes55.0ms (1.4%)

Memory
-13.6MiB live, 32.3MiB allocated; 3ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) #s(approx (+ (* (* (- 1/2 y) x) (* (- 1/2 y) x)) (- (* (log 2) (log 2)) (* (* (- 1/2 y) x) (log 2)))) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) y)) x)) (*.f64 x x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(approx (- (exp x) -1) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(approx (pow (log (- (exp x) -1)) 3) (fma.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) x (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (neg.f64 x) y)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)))))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

43.0ms
x
6.0ms
y
5.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.2%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
99.2%1x
99.2%1y
Compiler

Compiled 10 to 12 computations (-20% saved)

regimes12.0ms (0.3%)

Memory
23.9MiB live, 23.9MiB allocated; 0ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Calls

3 calls:

4.0ms
y
4.0ms
x
3.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.8%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
98.8%1x
98.8%1y
Compiler

Compiled 10 to 12 computations (-20% saved)

regimes16.0ms (0.4%)

Memory
-29.2MiB live, 20.4MiB allocated; 9ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
Calls

3 calls:

9.0ms
x
4.0ms
y
3.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.5%2(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
99.3%2x
89.6%1y
Compiler

Compiled 10 to 12 computations (-20% saved)

regimes4.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) (+.f64 #s(literal 2 binary64) x))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.1%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) x (log.f64 #s(literal 2 binary64))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.6%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.6%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.0%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
84.7%2x
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

1 calls:

2.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
97.5%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 8 to 8 computations (0% saved)

regimes7.0ms (0.2%)

Memory
-30.9MiB live, 14.4MiB allocated; 3ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

3 calls:

3.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
50.3%1x
50.3%1y
50.3%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 10 to 12 computations (-20% saved)

regimes3.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) #s(approx (* (- 1/2 y) x) (*.f64 #s(literal 1/2 binary64) x))))
Calls

3 calls:

1.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
3.7%1x
3.7%1y
3.7%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch7.0ms (0.2%)

Memory
15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
7.0ms
-215.39394762894435
-81.33837521190925
Samples
4.0ms80×0valid
Compiler

Compiled 147 to 156 computations (-6.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-exp: 1.0ms (49.8% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-log1p: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-215.39394762894435
-81.33837521190925
Compiler

Compiled 137 to 146 computations (-6.6% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-215.39394762894435
-81.33837521190925
Compiler

Compiled 147 to 156 computations (-6.1% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-215.39394762894435
-81.33837521190925
Compiler

Compiled 117 to 126 computations (-7.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.8438567109717083
597405.7448152256
0.0ms
1.8864680056143936e-10
0.6931450908890809
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.8438567109717083
597405.7448152256
0.0ms
1.8864680056143936e-10
0.6931450908890809
Compiler

Compiled 11 to 13 computations (-18.2% saved)

derivations991.0ms (24.7%)

Memory
-339.1MiB live, 248.9MiB allocated; 1.3s collecting garbage
Stop Event
1×fuel
Compiler

Compiled 99 to 65 computations (34.3% saved)

preprocess74.0ms (1.8%)

Memory
38.6MiB live, 182.0MiB allocated; 17ms collecting garbage
Compiler

Compiled 128 to 91 computations (28.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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